The width of the rectangle is 1/3 of its length, the perimeter is 4 meters, find the area.

Answer: 3/4 or 0.75m2.
Suppose that the length of this rectangle is X m.
Accordingly, its width will be (X * 1/3) m.
Considering that the perimeter (the sum of the lengths of all its sides) is 4 m, we get:
2 * (X + X * 1/3) = 4
2X + 2 / 3X = 4
8 / 3X = 4
8X = 12
X = 12: 8
X = 3/2,
those. the length of this rectangle is 3/2 m, and the width will be 3/2 * 1/3 = 1/2 m.
The area of a given rectangle is the product of its length and width, i.e.
3/2 * 1/2 = 3/4 = 0.75 (m2).